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Hasil dari integral subscript 0 superscript 2 3 open parentheses x plus 1 close parentheses open parentheses x minus 8 close parentheses equals... 

Pembahasan Soal:

Perhatikan rumus integral tentu berikut:

integral subscript straight a superscript straight b straight f left parenthesis straight x right parenthesis space dx equals open square brackets straight F left parenthesis straight x right parenthesis close square brackets subscript straight x equals straight a end subscript superscript straight x equals straight b end superscript equals straight F left parenthesis straight b right parenthesis minus straight F left parenthesis straight a right parenthesis.

Penyelesaian integral tentu pada soal adalah:

table attributes columnalign right center left columnspacing 0px end attributes row cell integral subscript 0 superscript 2 3 open parentheses straight x plus 1 close parentheses open parentheses straight x minus 8 close parentheses end cell equals cell integral subscript 0 superscript 2 open parentheses 3 straight x plus 3 close parentheses open parentheses straight x minus 8 close parentheses end cell row blank equals cell integral subscript 0 superscript 2 3 straight x squared minus 24 straight x plus 3 straight x minus 24 end cell row blank equals cell integral subscript 0 superscript 2 3 straight x squared minus 21 straight x minus 24 end cell row blank equals cell open square brackets 3 over 3 straight x cubed minus 21 over 2 straight x squared minus 24 straight x close square brackets subscript straight x equals 0 end subscript superscript straight x equals 2 end superscript end cell row blank equals cell open square brackets straight x cubed minus 21 over 2 straight x squared minus 24 straight x close square brackets subscript straight x equals 0 end subscript superscript straight x equals 2 end superscript end cell row blank equals cell open parentheses 2 cubed minus 21 over 2 open parentheses 2 squared close parentheses minus 24 open parentheses 2 close parentheses close parentheses minus open parentheses 0 cubed minus 21 over 2 open parentheses 0 squared close parentheses minus 24 open parentheses 0 close parentheses close parentheses end cell row blank equals cell 8 minus 21 over 2 open parentheses 4 close parentheses minus 48 end cell row blank equals cell 8 minus 42 minus 48 end cell row blank equals cell negative 82 end cell end table 

Dengan demikian, hasil dari integral subscript 0 superscript 2 3 open parentheses x plus 1 close parentheses open parentheses x minus 8 close parentheses adalah negative 82.

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 05 Mei 2021

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